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Matrices y Determinantes: Repaso

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Matrices y Determinantes: Repaso

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Conceptos esenciales de matrices y determinantes

Created by

JEANETTE JUANIQUINA TITO
JEANETTE JUANIQUINA TITO
Bolivia

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Matrices y Determinantes: Repaso
 

Matrices y Determinantes: RepasoOnline version

Conceptos esenciales de matrices y determinantes

by JEANETTE JUANIQUINA TITO
1

¿Qué es la matriz identidad?

2

Dado [a b; c d], ¿cuál es su determinante?

3

Propiedad del determinante de un producto?

4

Un matriz es invertible si...

5

¿Qué significa que una matriz sea simétrica?

6

Regla de Sarrus se usa para calcular el determinante de...

7

¿Qué es la transpuesta de una matriz A?

8

Si A es 2x3, el determinante de A existe?

9

Propiedad det(kA) para una matriz n×n?

10

¿Qué significa det(A)=0?

Explicación

La identidad tiene 1s en la diagonal y ceros fuera.

Determinante de 2x2 es ad - bc.

El determinante es multiplicativo para productos.

Solo si su determinante no es nulo tiene inversa.

Una matriz es simétrica si es igual a su transpuesta.

La regla de Sarrus aplica a 3x3.

A^T tiene filas como columnas y viceversa.

El determinante solo está definido para matrices cuadradas.

El determinante escala por k^n si l tamaño es n.

Cuando det(A)=0, no tiene inversa.

 
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